Decimal Place Value: Practice

Count places to the right of the decimal point. The very first place after the point is the tenths place.

$0.4 = \frac{4}{10}$

So the digit $4$ is in the tenths place.

The first place after the point is the tenths place, and the $7$ sits there.

$7 \times \frac{1}{10} = \frac{7}{10}$

So the value of the digit $7$ is $\tfrac{7}{10}$.

Read off the place of each digit: $6$ is in the tenths place and $3$ is in the hundredths place.

$0.63 = \frac{6}{10} + \frac{3}{100}$

There is one digit after the point, so the denominator is $10$.

$0.9 = \frac{9}{10}$

There are two digits after the point, so the denominator is $100$. The placeholder zero keeps the $7$ in the hundredths place.

$0.07 = \frac{7}{100}$

Both decimals have one place, so compare the tenths digit: $8$ against $3$.

$8 > 3 \;\Rightarrow\; 0.8 > 0.3$

Three tenths means the digit $3$ sits in the first place after the point.

$\frac{3}{10} = 0.3$

The $8$ is the only digit after the point, and it sits in the tenths place.

$0.8 = \frac{8}{10}$

Both decimals have one place, so compare the tenths digit: $2$ against $7$.

$2 < 7 \;\Rightarrow\; 0.2 < 0.7$

The $5$ is the only digit after the point, so it is in the tenths place, and the last place names the fraction.

$0.5 = \frac{5}{10}$

So $0.5$ reads "five tenths."

Count from the point: tenths, hundredths, thousandths. The first place is a $0$, and the $6$ is the second digit after the point.

$0.062 = \frac{0}{10} + \frac{6}{100} + \frac{2}{1000}$

So the digit $6$ is in the hundredths place.

Each decimal has a single digit in the tenths place, so just compare those digits: $1, 9, 4, 6$.

$9 > 6 > 4 > 1 \;\Rightarrow\; 0.9 \text{ is largest}$